The velocity of a particle on a line at time t is v=5t^2/3+6t. How many meters did the particle travel from t=1 and t=8?

D) 282

Step-by-step explanation:

Step 1: Write out the integral

Step 2: Find the anti-derivative for each term starting with . To do this you add one to and multiply 5 by the reciprocal of that number. Then you do the same to 6t. It should equal this:

Step 3: Simplify

Step 4: Solve the definite integral

Step 5: 282 would be your answer!